253432361056896 has 2048 divisors, whose sum is σ = 943531269120000. Its totient is φ = 65356357828608.

The previous prime is 253432361056873. The next prime is 253432361056907. The reversal of 253432361056896 is 698650163234352.

253432361056896 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 3 + 2 + 3 + 61 + 0 + 568 + 9 + 6 = 666.

It is a super-2 number, since 2×253432361056896² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224475075660 + ... + 224475076788.

It is an arithmetic number, because the mean of its divisors is an integer number (460708627500).

Almost surely, 2^{253432361056896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253432361056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471765634560000).

253432361056896 is an abundant number, since it is smaller than the sum of its proper divisors (690098908063104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253432361056896 is a wasteful number, since it uses less digits than its factorization.

253432361056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 253432361056896 in words is "two hundred fifty-three trillion, four hundred thirty-two billion, three hundred sixty-one million, fifty-six thousand, eight hundred ninety-six".